48. Find the area of this parallelogram (A = bh). 12 cm 5 cm 16 cm A. 65 cm² B. 60 cm² C. 48 cm² D. 36 cm² ASTO QACS.I OTSer 2318 cesa or 8100 g a 3188.00
48. Find the area of this parallelogram (A = bh). 12 cm 5 cm 16 cm A. 65 cm² B. 60 cm² C. 48 cm² D. 36 cm² ASTO QACS.I OTSer 2318 cesa or 8100 g a 3188.00
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### Educational Math Problems and Solutions
#### Problem 48
##### Finding the Area of a Parallelogram
**Question:**
Find the area of this parallelogram (\(A = bh\)).
**Diagram:**
- A parallelogram with a base (\(b\)) of 12 cm and a height (\(h\)) of 5 cm.
**Options:**
A. 65 cm²
B. 60 cm²
C. 48 cm²
D. 36 cm²
**Detailed Explanation:**
To find the area (\(A\)) of a parallelogram, you use the formula:
\[ A = b \times h \]
Given that \( b = 12 \text{ cm} \) and \( h = 5 \text{ cm} \),
\[ A = 12 \text{ cm} \times 5 \text{ cm} = 60 \text{ cm}² \]
The correct answer is **B. 60 cm²**.
#### Problem 49
##### Calculating the Volume of a Prism
**Question:**
What is the volume of a prism with length 9 cm, width 5 cm, and height 4 cm?
**Options:**
A. 202 cm³
B. 180 cm³
C. 99 cm³
D. 81 cm³
**Detailed Explanation:**
To calculate the volume (\(V\)) of a rectangular prism, you use the formula:
\[ V = l \times w \times h \]
Given that \( l = 9 \text{ cm} \), \( w = 5 \text{ cm} \), and \( h = 4 \text{ cm} \),
\[ V = 9 \text{ cm} \times 5 \text{ cm} \times 4 \text{ cm} = 180 \text{ cm}³ \]
The correct answer is **B. 180 cm³**.
#### Problem 50
##### Finding the Area of a Regular Polygon
**Question:**
The area formula for a regular polygon is \( \frac{1}{2}ap \). Find the area of a regular hexagon with side length of 16 cm and apothem length of 13.9 cm.
**Options:**
A. 222.4 cm²
B. 556 cm²
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Transcribed Image Text:### Educational Math Problems and Solutions
#### Problem 48
##### Finding the Area of a Parallelogram
**Question:**
Find the area of this parallelogram (\(A = bh\)).
**Diagram:**
- A parallelogram with a base (\(b\)) of 12 cm and a height (\(h\)) of 5 cm.
**Options:**
A. 65 cm²
B. 60 cm²
C. 48 cm²
D. 36 cm²
**Detailed Explanation:**
To find the area (\(A\)) of a parallelogram, you use the formula:
\[ A = b \times h \]
Given that \( b = 12 \text{ cm} \) and \( h = 5 \text{ cm} \),
\[ A = 12 \text{ cm} \times 5 \text{ cm} = 60 \text{ cm}² \]
The correct answer is **B. 60 cm²**.
#### Problem 49
##### Calculating the Volume of a Prism
**Question:**
What is the volume of a prism with length 9 cm, width 5 cm, and height 4 cm?
**Options:**
A. 202 cm³
B. 180 cm³
C. 99 cm³
D. 81 cm³
**Detailed Explanation:**
To calculate the volume (\(V\)) of a rectangular prism, you use the formula:
\[ V = l \times w \times h \]
Given that \( l = 9 \text{ cm} \), \( w = 5 \text{ cm} \), and \( h = 4 \text{ cm} \),
\[ V = 9 \text{ cm} \times 5 \text{ cm} \times 4 \text{ cm} = 180 \text{ cm}³ \]
The correct answer is **B. 180 cm³**.
#### Problem 50
##### Finding the Area of a Regular Polygon
**Question:**
The area formula for a regular polygon is \( \frac{1}{2}ap \). Find the area of a regular hexagon with side length of 16 cm and apothem length of 13.9 cm.
**Options:**
A. 222.4 cm²
B. 556 cm²
C.
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